Optical image capturing system

ABSTRACT

A four-piece optical lens for capturing image and a five-piece optical module for capturing image are provided. In the order from an object side to an image side, the optical lens along the optical axis includes a first lens with positive refractive power; a second lens with refractive power; a third lens with refractive power; and a fourth lens with refractive power; and at least one of the image-side surface and object-side surface of each of the four lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims priority from Taiwan Patent Application No. 105113328, filed on Apr. 28, 2016, in the Taiwan Intellectual Property Office, the content of which is hereby incorporated by reference in its entirety for all purposes.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present disclosure relates to an optical image capturing system, and more particularly to a compact optical image capturing system which can be applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system directs towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.

The traditional optical image capturing system of a portable electronic device comes with different designs, including a second-lens or a third-lens design. However, the requirement for the higher pixels and the requirement for a large aperture of an end user, like functionalities of micro filming and night view, or the requirement of wide view angle of the portable electronic device have been raised. But the optical image capturing system with the large aperture design often produces more aberration, resulting in the deterioration of quality in peripheral image formation and difficulties of manufacturing, and the optical image capturing system with wide view angle design increases distortion rate in image formation, thus the optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module.

Therefore, how to effectively increase quantity of incoming light and view angle of the optical lenses, not only further improves total pixels and imaging quality for the image formation, but also considers the equity design of the miniaturized optical lenses, becomes a quite important issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of four-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system and the view angle of the optical lenses, and to improve total pixels and imaging quality for image formation, so as to be applied to minimized electronic products.

The term and its definition to the lens element parameter in the embodiment of the present invention are shown as below for further reference.

The lens element parameter related to a length or a height in the lens element

The height of an image formed by the optical image capturing system is denoted by HOI. The height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is denoted by InTL. A distance from the image-side surface of the fourth lens element to an image plane is denoted by InB, where InTL+InB=HOS. A distance from an aperture stop (aperture) to an image plane is denoted by InS. A distance from the first lens element to the second lens element is denoted by In12 (example). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (example).

The Lens Element Parameter Related to the Material in the Lens Element

An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (example). A refractive index of the first lens element is denoted by Nd1 (example).

The Lens Element Parameter Related to View Angle in the Lens Element

A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.

The Lens Element Parameter Related to Exit/Entrance Pupil in the Lens Element

An entrance pupil diameter of the optical image capturing system is denoted by HEP. A maximum effective half diameter (EHD) of any surface of a single lens element refers to a perpendicular height between the optical axis and an intersection point where the incident ray with the maximum view angle passes through the outmost edge of the entrance pupil and intersects with the surface of the lens element. For example, the maximum effective half diameter of the object-side surface of the first lens element is denoted by EHD 11. The maximum effective half diameter of the image-side surface of the first lens element is denoted by EHD 12. The maximum effective half diameter of the object-side surface of the second lens element is denoted by EHD 21. The maximum effective half diameter of the image-side surface of the second lens element is denoted by EHD 22. The maximum effective half diameters of any surfaces of other lens elements in the optical image capturing system are denoted in the similar way.

The Lens Element Parameter Related to an Arc Length of the Lens Element Shape and an Outline of Surface

A length of the maximum effective half diameter outline curve at any surface of a single lens element refers to an arc length of a curve, wherein the curve starts from an axial point on the surface of the lens element, travels along the surface outline of the lens element, and ends at the point which defines the maximum effective half diameter; and this arc length is denoted as ARS. For example, the length of the maximum effective half diameter outline curve of the object-side surface of the first lens element is denoted as ARS11. The length of the maximum effective half diameter outline curve of the image-side surface of the first lens element is denoted as ARS12. The length of the maximum effective half diameter outline curve of the object-side surface of the second lens element is denoted as ARS21. The length of the maximum effective half diameter outline curve of the image-side surface of the second lens element is denoted as ARS22. The lengths of the maximum effective half diameter outline curve of any surface of other lens elements in the optical image capturing system are denoted in the similar way.

A length of ½ entrance pupil diameter (HEP) outline curve of any surface of a single lens element refers to an arc length of curve, wherein the curve starts from an axial point on the surface of the lens element, travels along the surface outline of the lens element, and ends at a coordinate point on the surface where the vertical height from the optical axis to the coordinate point is equivalent to ½ entrance pupil diameter; and the arc length is denoted as ARE. For example, the length of the ½ entrance pupil diameter (HEP) outline curve of the object-side surface of the first lens element is denoted as ARE11. The length of the ½ entrance pupil diameter (HEP) outline curve of the image-side surface of the first lens element is denoted as ARE12. The length of the ½ entrance pupil diameter (HEP) outline curve of the object-side surface of the second lens element is denoted as ARE21. The length of the ½ entrance pupil diameter (HEP) outline curve of the image-side surface of the second lens element is denoted as ARE22. The lengths of the ½ entrance pupil diameter (HEP) outline curve of any surface of the other lens elements in the optical image capturing system are denoted in the similar way.

The Lens Element Parameter Related to a Depth of the Lens Element Shape

A distance paralleling an optical axis from a maximum effective half diameter position to an axial point on the object-side surface of the fourth lens element is denoted by InRS41 (example). A distance paralleling an optical axis from a maximum effective half diameter position to an axial point on the image-side surface of the fourth lens element is denoted by InRS42 (example).

The Lens Element Parameter Related to the Lens Element Shape

A critical point C is a tangent point on a surface of a specific lens element, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be the axial point of the lens element surface. Furthermore, a perpendicular distance between a critical point C31 on the object-side surface of the third lens element and the optical axis is HVT31 (example). A perpendicular distance between a critical point C32 on the image-side surface of the third lens element and the optical axis is HVT32 (example). A perpendicular distance between a critical point C41 on the object-side surface of the fourth lens element and the optical axis is HVT41 (example). A perpendicular distance between a critical point C42 on the image-side surface of the fourth lens element and the optical axis is HVT42 (example). The perpendicular distances between the critical point on the image-side surface or object-side surface of other lens elements are denoted in similar fashion.

The object-side surface of the fourth lens element has one inflection point IF411 which is nearest to the optical axis, and the sinkage value of the inflection point IF411 is denoted by SGI411. SGI411 is a horizontal shift distance paralleling the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF411 and the optical axis is HIF411 (example). The image-side surface of the fourth lens element has one inflection point IF421 which is nearest to the optical axis and the sinkage value of the inflection point IF421 is denoted by SGI421 (example). SGI421 is a horizontal shift distance paralleling the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF421 and the optical axis is HIF421 (example).

The object-side surface of the fourth lens element has one inflection point IF412 which is the second nearest to the optical axis and the sinkage value of the inflection point IF412 is denoted by SGI412 (example), SGI1412 is a horizontal shift distance paralleling the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the second nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF412 and the optical axis is HIF412 (example). The image-side surface of the fourth lens element has one inflection point IF422 which is the second nearest to the optical axis and the sinkage value of the inflection point IF422 is denoted by SGI422 (example). SGI422 is a horizontal shift distance paralleling the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is second nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF4222 and the optical axis is HIF422 (example).

The object-side surface of the fourth lens element has one inflection point IF413 which is the third nearest to the optical axis and the sinkage value of the inflection point IF413 is denoted by SGI413 (example). SGI413 is a horizontal shift distance paralleling the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the third nearest to the optical axis on the object-side surface of the fourth d lens element. A distance perpendicular to the optical axis between the inflection point IF413 and the optical axis is HIF413 (example). The image-side surface of the fourth lens element has one inflection point IF423 which is the third nearest to the optical axis and the sinkage value of the inflection point IF423 is denoted by SGI423 (example). SGI423 is a horizontal shift distance paralleling the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is the third nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF423 and the optical axis is HIF423 (example).

The object-side surface of the fourth lens element has one inflection point IF414 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF414 is denoted by SGI414 (example). SGI414 is a horizontal shift distance paralleling the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the fourth nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF414 and the optical axis is HIF414 (example). The image-side surface of the fourth lens element has one inflection point IF424 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF424 is denoted by SGI424 (example). SGI424 is a horizontal shift distance paralleling the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is the fourth nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF424 and the optical axis is HIF424 (example).

The inflection points on the object-side surface or the image-side surface of the other lens elements and the perpendicular distances between them and the optical axis, or the sinkage values thereof are denoted in the similar way described above.

The Lens Element Parameter Related to an Aberration

Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Furthermore, the range of the aberration offset for the view of image formation may be limited to 50%-100%. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.

The transverse aberration of the edge of the aperture is defined as STOP Transverse Aberration (STA), which assesses the specific performance of the optical image capturing system. The tangential fan or sagittal fan may be applied to calculate the STA of any fields of view, and in particular, to calculate the STAs of the longest operation wavelength (e.g. 650 nm) and the shortest operation wavelength (e.g. 470 nm), which serve as the standard of the performance. The aforementioned direction of the tangential fan can be further defined as the positive (overhead-light) and negative (lower-light) directions. The STA of the max operation wavelength is defined as the distance between the position of the image formed when the max operation wavelength passing through the edge of the aperture strikes a specific field of view of the image plane and the image position of the reference primary wavelength (e.g. wavelength of 555 nm) on specific field of view of the image plane. Whereas the STA of the shortest operation wavelength is defined as the distance between the position of the image formed when the shortest operation wavelength passing through the edge of the aperture strikes a specific field of view of the image plane and the image position of the reference primary wavelength on a specific field of view of the image plane. The criteria for the optical image capturing system to be qualified as having excellent performance may be set as: both STA of the incident longest operation wavelength and the STA of the incident shortest operation wavelength at 70% of the field of view of the image plane (i.e. 0.7 HOI) have to be less than 100 μm or even less than 80 μm.

The optical image capturing system has a maximum image height HOI on the image plane perpendicular to the optical axis. A transverse aberration of the longest operation wavelength of visible light of a positive direction tangential fan of the optical image capturing system passing through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted as PLTA. A transverse aberration of the shortest operation wavelength of visible light of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted as PSTA. A transverse aberration of the longest operation wavelength of visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted as NLTA. A transverse aberration of the shortest operation wavelength of visible light of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted as NSTA. A transverse aberration of the longest operation wavelength of visible light of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane denoted as SLTA. A transverse aberration of the shortest operation wavelength of visible light of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted as SSTA.

The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the fourth lens element may have inflection points, such that the angle of incidence from each field of view to the fourth lens element can be adjusted effectively and the optical distortion and the TV distortion can be corrected as well. Besides, the surfaces of the fourth lens element may have a better optical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in the order from an object side to an image side including a first, second, third and fourth lens elements and an image plane. The first lens element has refractive power. Focal lengths of the first through fourth lens elements are f1, f2, f3 and f4 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. Half of the maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of those lens elements, tracing along the outline of the surface, ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE. The following conditions are satisfied: 1.0≤f/HEP≤10, 0 deg≤HAF≤150 deg, and 0.9≤2 (ARE/HEP)≤2.0.

The disclosure also provides an optical image capturing system, in an order from an object side to an image side including a first, second, third and fourth lens elements and an image plane. The first lens element has refractive power. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. At least two lens elements among the first to fourth lens elements respectively have at least one inflection point on at least one surface thereof. At least one of the second through fourth lens elements has positive refractive power. Focal lengths of the first through fourth lens elements are f1, f2, f3 and f4 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on the optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. Half of the maximum viewable angle of the optical image capturing system is denoted by HAF. An outline curve starting from an axial point on any surface of any one of those lens elements, tracing along the outline of the surface, ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis is defined, and the length of the outline curve is denoted by ARE. The following conditions are satisfied: 1.0≤f/HEP≤10, 0° (degree)≤HAF≤150° (deg), and 0.95≤2 (ARE/HEP)≤2.0.

The disclosure further provides an optical image capturing system, in an order from an object side to an image side including a first, second, third and fourth lens elements and an image plane. At least one of the object-side surface and the image-side surface of the fourth lens element has at least one inflection point, wherein there are four lens elements having refractive power in the optical image capturing system. The first lens element has refractive power. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. Focal lengths of the first through fourth lens elements are f1, f2, f3 and f4 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on the optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. Half of the maximum viewable angle of the optical image capturing system is denoted by HAF. An outline curve starting from an axial point on any surface of any one of those lens elements, tracing along the outline of the surface, ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis is defined, and the length of the outline curve is denoted by ARE. The following conditions are satisfied: 1.0≤f/HEP≤10, 0° (degree)≤HAF≤150° (deg), and 0.9≤2 (ARE/HEP)≤2.0.

The length of the outline curve of any surface of single lens element within the range of maximum effective half diameter affects the performance in correcting the surface aberration and the optical path difference between the rays in each field of view. The longer outline curve may lead to a better performance in aberration correction, but the difficulty of the production may become higher. Hence, the length of the outline curve (ARS) of any surface of a single lens element within the range of the maximum effective half diameter has to be controlled, and especially, the proportional relationship (ARS/TP) between the length of the outline curve (ARS) of the surface within the range of the maximum effective half diameter and the central thickness (TP) of the lens element to which the surface belongs on the optical axis has to be controlled. For example, the length of the maximum effective half diameter outline curve of the object-side surface of the first lens element is denoted as ARS11, and the central thickness of the first lens element on the optical axis is TP1, and the ratio between both of them is ARS11/TP1. The length of the maximum effective half diameter outline curve of the image-side surface of the first lens element is denoted as ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The length of the maximum effective half diameter outline curve of the object-side surface of the second lens element is denoted as ARS21, and the central thickness of the second lens element on the optical axis is TP2, and the ratio between both of them is ARS21/TP2. The length of the maximum effective half diameter outline curve of the image-side surface of the second lens element is denoted as ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. The proportional relationships between the lengths of the maximum effective half diameter outline curve of any surface of the other lens elements and the central thicknesses of the lens elements to which the surfaces belong on the optical axis (TP) are denoted in the similar way.

The length of ½ entrance pupil diameter outline curve of any surface of a single lens element especially affects the performance of the surface in correcting the aberration in the shared region of each field of view, and the performance in correcting the optical path difference among each field of view. The longer outline curve may lead to a better function of aberration correction, but the difficulty of the production may become higher. Hence, the length of ½ entrance pupil diameter outline curve of any surface of a single lens element has to be controlled, and especially, the proportional relationship between the length of ½ entrance pupil diameter outline curve of any surface of a single lens element and the central thickness on the optical axis has to be controlled. For example, the length of the ½ entrance pupil diameter outline curve of the object-side surface of the first lens element is denoted as ARE11, and the central thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE11/TP1. The length of the ½ entrance pupil diameter outline curve of the image-side surface of the first lens element is denoted as ARE12, and the central thickness of the first lens element on the optical axis is TP1, and the ratio thereof is ARE12/TP1. The length of the ½ entrance pupil diameter outline curve of the object-side surface of the first lens element is denoted as ARE21, and the central thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE21/TP2. The length of the ½ entrance pupil diameter outline curve of the image-side surface of the second lens element is denoted as ARE22, and the central thickness of the second lens element on the optical axis is TP2, and the ratio thereof is ARE22/TP2. The proportional relationship of the remaining lens elements of the optical image capturing system can be computed in similar way.

The optical image capturing system described above may be configured to form the image on the image sensing device which is shorter than 1/1.2 inch in diagonal length. The pixel size of the image sensing device is smaller than 1.4 micrometers (μm). Preferably the pixel size thereof is smaller than 1.12 micrometers (μm). The best pixel size thereof is smaller than 0.9 micrometers (μm). Furthermore, the optical image capturing system is applicable to the image sensing device with aspect ratio of 16:9.

The optical image capturing system described above is applicable to the demand of video recording with above millions or ten millions-pixels (e.g. 4K and 2K videos or the so-called UHD and QHD) and leads to a good imaging quality.

The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system when the absolute value of f1 is larger than f1 (|f1|>f4).

When the relationship |f2|+|f3|>|f1|+|f4| is satisfied, at least one of the second through third lens elements may have weak positive refractive power or weak negative refractive power. The weak refractive power indicates that an absolute value of the focal length of a specific lens element is greater than 10. When at least one of the second through third lens elements has the weak positive refractive power, the positive refractive power of the first lens element can be shared, such that the unnecessary aberration will not appear too early. On the contrary, when at least one of the second and third lens elements has the weak negative refractive power, the aberration of the optical image capturing system can be corrected and fine-tuned.

The fourth lens element may have negative refractive power, and the image-side surface thereof may be a concave surface. With this configuration, the back focal distance of the optical image capturing system may be shortened and the system may be minimized. Besides, at least one surface of the fourth lens element may possess at least one inflection point, which is capable of effectively reducing the incident angle of the off-axis rays of the field of view, thereby further correcting the off-axis aberration.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the present disclosure will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present invention.

FIG. 1B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present invention.

FIG. 1C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the first embodiment of the present invention.

FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present invention.

FIG. 2B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the second embodiment of the present invention.

FIG. 2C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the second embodiment of the present invention.

FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present invention.

FIG. 3B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the third embodiment of the present invention.

FIG. 3C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the third embodiment of the present invention.

FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present invention.

FIG. 4B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fourth embodiment of the present invention.

FIG. 4C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the fourth embodiment of the present invention.

FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present invention.

FIG. 5B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fifth embodiment of the present invention.

FIG. 5C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the fifth embodiment of the present invention.

FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present invention.

FIG. 6B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the sixth embodiment of the present invention.

FIG. 6C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the sixth embodiment of the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

An optical image capturing system, in the order from an object side to an image side, includes a first, second, third and fourth lens elements with refractive power and an image plane. The optical image capturing system may further include an image sensing device which is disposed on an image plane.

The optical image capturing system may use three sets of operation wavelengths, which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, wherein 587.5 nm is served as the primary reference wavelength and a reference wavelength to obtain technical features of the optical system. The optical image capturing system may also use five sets of wavelengths which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, wherein 555 nm is served as the primary reference wavelength and a reference wavelength to obtain technical features of the optical system.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each lens element with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each lens element with negative refractive power is NPR. A sum of the PPR of all lens elements with positive refractive powers is ΣPPR. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR. The total refractive power and the total length of the optical image capturing system can be controlled easily when following conditions are satisfied: 0.5≤ΣPPR/|ΣNPR|≤4.5. Preferably, the following condition may be satisfied: 1≤ΣPPR/|ΣNPR|≤3.5.

The height of the optical image capturing system is HOS. When the value of the ratio, i.e. HOS/f approaches 1, it would be easier to manufacture the miniaturized optical image capturing system capable of ultra-high pixel image formation.

A sum of a focal length fp of each lens element with positive refractive power is ΣPP. A sum of a focal length fn of each lens element with negative refractive power is ΣNP. In one embodiment of the optical image capturing system of the present disclosure, the following conditions are satisfied: 0<ΣPP≤200 and f1/ΣPP≤0.85. Preferably, the following relations may be satisfied: 0<ΣPP≤150 and 0.01≤f1/ΣPP≤0.7. As a result, the optical image capturing system will have better control over the focusing, and the positive refractive power of the optical system can be distributed appropriately, so as to suppress any premature formation of noticeable aberration.

The first lens element may have positive refractive power, and it has a convex object-side surface. Hereby, the magnitude of the positive refractive power of the first lens element can be fined-tuned, so as to reduce the total length of the optical image capturing system.

The second lens element may have negative refractive power. Hereby, the aberration generated by the first lens element can be corrected.

The third lens element may have positive refractive power. Hereby, the positive refractive power of the first lens element can be shared.

The fourth lens element may have negative refractive power and a concave image-side surface. With this configuration, the back focal length is reduced in order to keep the size of the optical system small. In addition, at least one of the object-side surface and the image-side surface of the fourth lens element may have at least one inflection point, which is capable of effectively reducing the incident angle of the off-axis rays of the field of view, thereby further correcting the off-axis aberration. Preferably, each of the object-side surface and the image-side surface may have at least one inflection point.

The optical image capturing system may further include an image sensing device which is disposed on an image plane. Half of a diagonal of an effective detection field of the image sensing device (imaging height or the maximum image height of the optical image capturing system) is HOI. A distance on the optical axis from the object-side surface of the first lens element to the image plane is HOS. The following conditions are satisfied: HOS/HOI≤3 and 0.5≤HOS/f≤3.0. Preferably, the following relations may be satisfied: 1≤HOS/HOI≤2.5 and 1≤HOS/f≤2. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices.

In addition, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stop may be arranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following condition is satisfied: 0.5≤InS/HOS≤1.1. Preferably, the following relation may be satisfied: 0.8≤InS/HOS≤1. Hereby, features of maintaining the minimization for the optical image capturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. A sum of central thicknesses of all lens elements with refractive power on the optical axis is ΣTP. The following condition is satisfied: 0.45≤ΣTP/InTL≤0.95. Preferably, the following relation may be satisfied: 0.6≤ΣTP/InTL≤0.9. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

A curvature radius of the object-side surface of the first lens element is R1. A curvature radius of the image-side surface of the first lens element is R2. The following condition is satisfied: 0.01≤|R1/R2|≤0.5. Hereby, the first lens element may have a suitable magnitude of positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast. Preferably, the following relation may be satisfied: 0.01≤|R1/R2|≤0.4.

A curvature radius of the object-side surface of the fourth lens element is R9. A curvature radius of the image-side surface of the fourth lens element is R10. The following condition is satisfied: −200<(R7−R8)/(R7+R8)<30. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element on the optical axis is IN12. The following condition is satisfied: 0<IN12/f≤0.25. Preferably, the following relation may be satisfied: 0.01≤IN12/f≤0.20. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

A distance between the second lens element and the third lens element on the optical axis is IN23. The following condition is satisfied: 0<IN23/f≤0.25. Preferably, the following relation may be satisfied: 0.01≤IN23/f≤0.20. Hereby, the performance of the lens elements can be improved.

A distance between the third lens element and the fourth lens element on the optical axis is IN34. The following condition is satisfied: 0<IN34/f≤0.25. Preferably, the following relation may be satisfied: 0.001≤IN34/f≤0.20. Hereby, the performance of the lens elements can be improved.

Central thicknesses of the first lens element and the second lens element on the optical axis are TP1 and TP2, respectively. The following condition is satisfied: 1≤(TP1+IN12)/TP2≤10. Hereby, the sensitivity of the optical image capturing system can be controlled, and the performance can be increased.

Central thicknesses of the third lens element and the fourth lens element on the optical axis are TP3 and TP4, respectively, and a distance between the aforementioned two lens elements on the optical axis is IN34. The following condition is satisfied: 0.2≤(TP4+IN34)/TP4≤3. Hereby, the sensitivity of the optical image capturing system can be controlled and the total height of the optical image capturing system can be reduced.

A distance between the second lens element and the third lens element on the optical axis is IN23. A total sum of distances from the first lens element to the fourth lens element on the optical axis is ΣTP. The following condition is satisfied: 0.01≤IN23/(TP2+IN23+TP3)≤0.5. Preferably, the following relation may be satisfied: 0.05≤IN23/(TP2+IN23+TP3)≤0.4. Hereby, the aberration generated when the incident light is travelling inside the optical system can be corrected slightly layer upon layer, and the total height of the optical image capturing system can be reduced.

In the optical image capturing system of the disclosure, a distance paralleling an optical axis from a maximum effective diameter position to an axial point on the object-side surface 142 of the fourth lens element is InRS41 (InRS41 is positive if the horizontal displacement is toward the image-side surface, or InRS41 is negative if the horizontal displacement is toward the object-side surface). A distance paralleling an optical axis from a maximum effective diameter position to an axial point on the image-side surface 144 of the fourth lens element is InRS42. A central thickness of the fourth lens element 140 on the optical axis is TP4. The following conditions are satisfied: −1 mm≤InRS41≤1 mm, −1 mm≤InRS42≤1 mm, 1 mm≤|InRS41|+|InRS42|≤2 mm, 0.01≤|InRS41|/TP4≤10 and 0.01≤|InRS42/TP4≤10. Hereby, the maximum effective diameter position between both surfaces of the fourth lens element can be controlled, so as to facilitate the aberration correction of peripheral field of view of the optical image capturing system and maintain its miniaturization effectively.

In the optical image capturing system of the disclosure, a distance paralleling an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI411. A distance paralleling an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following conditions are satisfied: 0<SGI411/(SGI411+TP4)≤0.9 and 0<SGI421/(SGI421+TP4)≤0.9. Preferably, the following relations may be satisfied: 0.01<SGI411/(SGI411+TP4)≤0.7 and 0.01<SGI421/(SGI421+TP4)≤0.7.

A distance paralleling the optical axis from the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. A distance paralleling an optical axis from an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI422. The following conditions are satisfied: 0<SGI412/(SGI412+TP4)≤0.9 and 0<SGI422/(SGI422+TP4)≤0.9. Preferably, the following relations may be satisfied: 0.1≤SGI412/(SGI412+TP4)≤0.8 and 0.1≤SGI422/(SGI422+TP4)≤0.8.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF411. A distance perpendicular to the optical axis between an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis and an axial point on the image-side surface of the fourth lens element is denoted by HIF421. The following conditions are satisfied: 0.01≤HIF411/HOI≤0.9 and 0.01≤HIF421/HOI≤0.9. Preferably, the following relations may be satisfied: 0.09≤HIF411/HOI≤0.5 and 0.09≤HIF421/HOI≤0.5.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF412. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis is denoted by HIF422. The following conditions are satisfied: 0.01≤HIF412/HOI≤0.9 and 0.01≤HIF422/HOI≤0.9. Preferably, the following relations may be satisfied: 0.09≤HIF412/HOI≤0.8 and 0.09≤HIF422/HOI≤0.8.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF413. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the third nearest to the optical axis is denoted by HIF423. The following conditions are satisfied: 0.001 mm≤|HIF413|≤5 mm and 0.001 mm≤|HIF423|≤5 mm. Preferably, the following relations may be satisfied: 0.1 mm≤|HIF423|≤3.5 mm and 0.1 mm≤|HIF413|≤3.5 mm.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF414. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the fourth nearest to the optical axis is denoted by HIF424. The following conditions are satisfied: 0.001 mm|HIF414|≤5 mm and 0.001 mm≤|HIF424|≤5 mm. Preferably, the following relations may be satisfied: 0.1 mm≤|HIF424|≤3.5 mm and 0.1 mm≤|HIF414|≤3.5 mm.

In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Abbe number and small Abbe number.

The equation for the aforementioned aspheric surface is: z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5)]+A ₄ h ⁴ +A ₆ h ⁶ +A ₈ h ⁸ +A ₁₀ h ¹⁰ +A ₁₂ h ¹² +A ₁₄ h ¹⁴ +A ₁₆ h ¹⁶ +A ₁₈ h ¹⁸ +A ₂₀ h ²⁰+ . . .   (1), where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A₄, A₆, A₈, A₁₀, A₁₂, A₁₄, A₁₆, A₁₈, and A₂₀ are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing as well as the weight of the lens element can be reduced effectively. If lens elements are made of glass, the heat effect can be controlled and the room for adjustment of the refractive power of the optical image capturing system can be increased. Besides, the object-side surface and the image-side surface of the first through fourth lens elements may be aspheric, which provides more control variables, such that the number of lens elements used can be reduced in contrast to traditional glass lens element, and the aberration can be reduced too. Thus, the total height of the optical image capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by the disclosure, if the lens element has a convex surface, the surface of the lens element adjacent to the optical axis is convex. If the lens element has a concave surface, the surface of the lens element adjacent to the optical axis is concave.

Besides, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stop may be arranged for reducing stray light and improving the imaging quality.

The optical image capturing system of the disclosure can be adapted to the optical image capturing system with automatic focus if required. With the features of a good aberration correction and a high quality of image formation, the optical image capturing system can be used in various applications.

The optical image capturing system of the disclosure can include a driving module according to the actual requirements. The driving module may be coupled with the lens elements and enables the movement of the lens elements. The driving module described above may be the voice coil motor (VCM) which is applied to move the lens to focus, or may be the optical image stabilization (OIS) which is applied to reduce the frequency the optical system is out of focus owing to the vibration of the lens during photo or video shooting.

At least one lens element among the first lens element, the second lens element, the third lens element and the fourth lens element of the optical image capturing system of the present disclosure may be a light filtering element which has a wavelength less than 500 nm according to the actual requirements. The light filtering element may be made by coating film on at least one surface of the lens element with the specific filtration function or the lens element per se is designed with the material which is able to filter the short wavelength.

The image plane of the optical image capturing system of the present disclosure may be a plane or a curved surface, depending on the design requirement. When the image plane is a curved surface (e.g. a spherical surface with curvature radius), the incident angle required such that the rays are focused on the image plane can be reduced. As such, the length of the optical image capturing system (TTL) can be minimized, and the relative illumination may be improved as well.

According to the above embodiments, the specific embodiments with figures are presented in detail as below.

The First Embodiment

Please refer to FIG. 1A to FIG. 1C. FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present invention. FIG. 1B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present invention. FIG. 1C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane, according to the first embodiment of the present invention. As shown in FIG. 1A, in the order from an object side to an image side, the optical image capturing system includes an aperture stop 100, a first lens element 110, a second lens element 120, a third lens element 130, a fourth lens element 140, an IR-bandstop filter 170, an image plane 180, and an image sensing device 190.

The first lens element 110 has positive refractive power and it is made of plastic material. The first lens element 110 has a convex object-side surface 112 and a concave image-side surface 114, and both of the object-side surface 112 and the image-side surface 114 are aspheric and have an inflection point. The length of outline curve of the maximum effective half diameter of the object-side surface of the first lens element is denoted as ARS11. The length of outline curve of the maximum effective half diameter of the image-side surface of the first lens element is denoted as ARS12. The length of outline curve of ½ entrance pupil diameter (HEP) of the object-side surface of the first lens element is denoted as ARE11, and the length of outline curve of ½ entrance pupil diameter (HEP) of the image-side surface of the first lens element is denoted as ARE12. The thickness of the first lens element on the optical axis is TP1.

A distance paralleling an optical axis from an inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by SGI111. A distance paralleling an optical axis from an inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by SGI121. The following conditions are satisfied: SGI111=0.2008 mm, SGI121=0.0113 mm, |SGI111|/(|SGI111|+TP1)=0.3018 and |SGI121|/(|SGI121|+TP1)=0.0238.

A distance perpendicular to the optical axis from the inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by HIF111. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by HIF121. The following conditions are satisfied: HIF111=0.7488 mm, HIF121=0.4451 mm, HIF111/HOI=0.2552 and HIF121/HOI=0.1517.

The second lens element 120 has positive refractive power and it is made of plastic material. The second lens element 120 has a concave object-side surface 122 and a convex image-side surface 124, and both of the object-side surface 122 and the image-side surface 124 are aspheric. The object-side surface 122 has an inflection point. The length of outline curve of the maximum effective half diameter of the object-side surface of the second lens element is denoted as ARS21, and the length of outline curve of the maximum effective half diameter of the image-side surface of the second lens element is denoted as ARS22. The length of outline curve of ½ entrance pupil diameter (HEP) of the object-side surface of the second lens element is denoted as ARE21, and the length of outline curve of ½ entrance pupil diameter (HEP) of the image-side surface of the second lens element is denoted as ARE22. The thickness of the second lens element on the optical axis is TP2.

A distance paralleling an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance paralleling an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221. The following conditions are satisfied: SGI211=−0.1791 mm and |SGI211|/(|SGI211|+TP2)=0.3109.

A distance perpendicular to the optical axis from the inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by HIF211. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by HIF221. The following conditions are satisfied: HIF211=0.8147 mm and HIF211/HOI=0.2777.

The third lens element 130 has negative refractive power and it is made of plastic material. The third lens element 130 has a concave object-side surface 132 and a convex image-side surface 134, and both of the object-side surface 132 and the image-side surface 134 are aspheric. The image-side surface 134 has an inflection point. The length of outline curve of the maximum effective half diameter position of the object-side surface of the third lens element is denoted as ARS31, and the length of outline curve of the maximum effective half diameter position of the image-side surface of the third lens element is denoted as ARS32. The length of outline curve of a ½ entrance pupil diameter (HEP) of the object-side surface of the third lens element is denoted as ARE31, and the length of outline curve of the ½ entrance pupil diameter (HEP) of the image-side surface of the third lens element is denoted as ARE32. The central thickness of the third lens element on the optical axis is TP3.

A distance paralleling an optical axis from an inflection point on the object-side surface of the third lens element which is nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI311. A distance paralleling an optical axis from an inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by SGI321. The following relationship are satisfied: SGI321=−0.1647 mm; |SGI321|/(|SGI321|+TP3)≤0.1884.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens element which is nearest to the optical axis and the optical axis is denoted by HIF311. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by HIF321. The following conditions are satisfied: HIF321=0.7269 mm and HIF321/HOI=0.2477.

The fourth lens element 140 has negative refractive power and it is made of plastic material. The fourth lens element 140 has a convex object-side surface 142 and a concave image-side surface 144; both of the object-side surface 142 and the image-side surface 144 are aspheric. The object-side surface 142 thereof has two inflection points while the image-side surface 144 thereof has an inflection point. The length of the maximum effective half diameter outline curve of the object-side surface of the fourth lens element is denoted as ARS41, and the length of the maximum effective half diameter outline curve of the image-side surface of the fourth lens element is denoted as ARS42. The length of ½ entrance pupil diameter (HEP) outline curve of the object-side surface of the fourth lens element is denoted as ARE41, and the length of the ½ entrance pupil diameter (HEP) outline curve of the image-side surface of the fourth lens element is denoted as ARE42. The central thickness of the fourth lens element on the optical axis is TP4.

A distance paralleling an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI411. A distance paralleling an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following conditions are satisfied: SGI411=0.0137 mm, SGI421=−0.0922 mm, |SGI411|/(|SGI411|+TP4)=0.0155 and |SGI421|/(|SGI421+TP4)=0.0956.

A distance paralleling an optical axis from an inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. The following conditions are satisfied: SGI412=−0.1518 mm and |SGI412|/(|SGI412|+TP4)=0.1482.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF411. A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF421. The following conditions are satisfied: HIF411=0.2890 mm, HIF421=0.5794 mm, HIF411/HOI=0.0985 and HIF421/HOI=0.1975.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is second nearest to the optical axis and the optical axis is denoted by HIF412. The following conditions are satisfied: HIF412=1.3328 mm and HIF412/HOI=0.4543.

The IR-bandstop filter 170 is made of glass material and is disposed between the fourth lens element 140 and the image plane 180 without affecting the focal length of the optical image capturing system.

In the optical image capturing system of the first embodiment, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, and half of a maximal view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=3.4375 mm, f/HEP=2.23, HAF=39.69° and tan(HAF)=0.8299.

In the optical image capturing system of the first embodiment, a focal length of the first lens element 110 is f1 and a focal length of the fourth lens element 140 is f4. The following conditions are satisfied: f1=3.2736 mm, |f/f|=1.0501, f4=−8.3381 mm and |f1/f4|=0.3926.

In the optical image capturing system of the first embodiment, a focal length of the second lens element 120 is f2 and a focal length of the third lens element 130 is f3. The following conditions are satisfied: |f2|+f3|=10.0976 mm, |f1|+f4=11.6116 mm and |f2|+|f3|<|f1|+|f4|.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive powers is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive powers is NPR. In the optical image capturing system of the first embodiment, a sum of the PPR of all lens elements with positive refractive powers is ΣPPR=|f/f1|+|f/f2|=1.95585. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR=f/f3+|f/f4|=0.95770, ΣPPR/ΣNPR=2.04224. The following conditions are also satisfied: |f/f1|=1.05009, |f/f2|=0.90576, |f/f3|=0.54543 and |f/f4|=0.41227.

In the optical image capturing system of the first embodiment, a distance from the object-side surface 112 of the first lens element to the image-side surface 144 of the fourth lens element is InTL. A distance from the object-side surface 112 of the first lens element to the image plane 180 is HOS. A distance from an aperture 100 to an image plane 180 is InS. Half of a diagonal length of an effective detection field of the image sensing device 190 is HOI. A distance from the image-side surface 144 of the fourth lens element to an image plane 180 is InB. The following conditions are satisfied: InTL+InB=HOS, HOS=4.4250 mm, HOI=2.9340 mm, HOS/HOI=1.5082, HOS/f=1.2873; InTL/HOS=0.7191, InS=4.2128 mm and InS/HOS=0.95204.

In the optical image capturing system of the first embodiment, the sum of central thicknesses of all lens elements with refractive power on the optical axis is ΣTP. The following conditions are satisfied: ΣTP=2.4437 mm and ΣTP/InTL=0.76793. Therefore, both contrast ratio for the image formation in the optical image capturing system and yield rate of the manufacturing process of the lens element can be balanced, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 112 of the first lens element is R1. A curvature radius of the image-side surface 114 of the first lens element is R2. The following condition is satisfied: |R1/R2|=0.1853. Hereby, the first lens element has a suitable magnitude of the positive refractive power, so as to prevent the spherical aberration from increasing too fast.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 142 of the fourth lens element is R7. A curvature radius of the image-side surface 144 of the fourth lens element is R8. The following condition is satisfied: (R7−R8)/(R7+R8)=0.2756. As such, the astigmatism generated by the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, the focal lengths for the first lens element 110 and the second lens element 120 are respectively f1 and f2. The sum of the focal lengths for all lens elements having positive refractive power is ΣPP, which satisfies the following conditions: ΣPP=f1+f2=7.0688 mm and f1/(f1+f2)≤0.4631. Therefore, the positive refractive power of the first lens element 110 may be distributed to other lens elements with positive refractive power appropriately, so as to suppress noticeable aberrations generated when the incident light is tracing along the optical system.

In the optical image capturing system of the first embodiment, the focal lengths for the third lens element 130 and the fourth lens element 140 are respectively f3 and f4. The sum of the focal lengths for all lens elements having negative refractive power is ΣNP, which satisfies the following conditions: ΣNP=f3+f4=−14.6405 mm and f4/(f2+f4)=0.5695. Therefore, the negative refractive power of the fourth lens element may be distributed to other lens elements with negative refractive power appropriately, so as to suppress noticeable aberrations generated when the incident light is tracing along the optical system.

In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following conditions are satisfied: IN12=0.3817 mm and IN12/f=0.11105. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance of the optical system is increased.

In the optical image capturing system of the first embodiment, a distance between the second lens element 120 and the third lens element 130 on the optical axis is IN23. The following conditions are satisfied: IN23=0.0704 mm and IN23/f=0.02048. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance of the optical system is increased.

In the optical image capturing system of the first embodiment, a distance between the third lens element 130 and the fourth lens element 140 on the optical axis is IN34. The following conditions are satisfied: IN34=0.2863 mm and IN34/f=0.08330. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance of the optical system is increased.

In the optical image capturing system of the first embodiment, central thicknesses of the first lens element 110 and the second lens element 120 on the optical axis are TP1 and TP2, respectively. The following conditions are satisfied: TP1=0.46442 mm, TP2=0.39686 mm, TP1/TP2=1.17023 and (TP1+IN12)/TP2=2.13213. Hereby, the sensitivity of the optical image capturing system can be controlled, and the performance thereof can be increased.

In the optical image capturing system of the first embodiment, central thicknesses of the third lens element 130 and the fourth lens element 140 on the optical axis are TP3 and TP4, respectively. The separation distance between the third lens element 130 and the fourth lens element 140 on the optical axis is IN34. The following conditions are satisfied: TP3=0.70989 mm, TP4=0.87253 mm, TP3/TP4=0.81359 and (TP4+IN34)/TP3=1.63248. Hereby, the sensitivity of the optical image capturing system can be controlled, and the performance thereof can be increased.

In the optical image capturing system of the first embodiment, the following relations are satisfied: IN23/(TP2+IN23+TP3)=0.05980. Hereby, the aberration generated when the incident light is travelling inside the optical system can be corrected slightly layer upon layer, and the total height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, a distance paralleling an optical axis from a maximum effective diameter position to an axial point on the object-side surface 142 of the fourth lens element is InRS41. A distance paralleling an optical axis from a maximum effective diameter position to an axial point on the image-side surface 144 of the fourth lens element is InRS42. A central thickness of the fourth lens element 140 is TP4. The following conditions are satisfied: InRS41=−0.23761 mm, InRS42=−0.20206 mm, |InRS41|+|InRS42|=0.43967 mm, |InRS41|/TP4=0.27232 and |InRS42|/TP4=0.23158. Hereby, it is favorable to the manufacturing and forming of the lens element, while maintaining the minimization for the optical image capturing system.

In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface 142 of the fourth lens element and the optical axis is HVT41. A distance perpendicular to the optical axis between a critical point C42 on the image-side surface 144 of the fourth lens element and the optical axis is HVT42. The following conditions are satisfied: HVT41=0.5695 mm, HVT42=1.3556 mm and HVT41/HVT42=0.4201. With this configuration, the off-axis aberration could be corrected effectively.

In the optical image capturing system of the first embodiment, the following condition is satisfied: HVT42/HOI=0.4620. As such, the aberration at the surrounding field of view of the optical image capturing system may be corrected effectively.

In the optical image capturing system of the first embodiment, the following condition is satisfied: HVT42/HOS=0.3063. As such, the aberration at the surrounding field of view of the optical image capturing system may be corrected effectively.

In the optical image capturing system of the first embodiment, the Abbe number of the first lens element is NA1. The Abbe number of the second lens element is NA2. The Abbe number of the third lens element is NA3. The Abbe number of the fourth lens element is NA4. The following conditions are satisfied: |NA1−NA2|=0 and NA3/NA2=0.39921. Hereby, the chromatic aberration of the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT, respectively. The following conditions are satisfied: |TDT|=0.4% and |ODT|=2.5%.

In the optical image capturing system of the first embodiment, the transverse aberration of the longest operation wavelength of a positive direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as PLTA, which is 0.001 mm (pixel size is 1.12 μm). The transverse aberration of the shortest operation wavelength of a positive direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as PSTA, which is 0.004 mm (pixel size is 1.12 μm). The transverse aberration of the longest operation wavelength of the negative direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as NLTA, which is 0.003 mm (pixel size is 1.12 μm). The transverse aberration of the shortest operation wavelength of the negative direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as NSTA, which is −0.003 mm (pixel size is 1.12 m). The transverse aberration of the longest operation wavelength of the sagittal fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as SLTA, which is 0.003 mm (pixel size is 1.12 μm). The transverse aberration of the shortest operation wavelength of the sagittal fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as SSTA, which is 0.004 mm (pixel size is 1.12 μm).

Table 1 and Table 2 below should be incorporated into the reference of the present embodiment.

TABLE 1 Lens Parameters for the First Embodiment f(focal length) = 3.4375 mm; f/HEP = 2.23; HAF(half angle of view) = 39.6900 deg; tan(HAF) = 0.8299 Surface Central Refractive Abbe Focal No. Curvature Radius Thickness Material Index Number Length 0 Object Plane ∞ 1 Lens 1/  1.466388 0.464000 Plastic 1.535 56.07 3.274 Aperture stop 2  7.914480 0.382000 3 Lens 2 −5.940659 0.397000 Plastic 1.535 56.07 3.795 4 −1.551401 0.070000 5 Lens 3 −0.994576 0.710000 Plastic 1.642 22.46 −6.302 6 −1.683933 0.286000 7 Lens 4  2.406736 0.873000 Plastic 1.535 56.07 −8.338 8  1.366640 0.213000 9 IR-bandstop Plane 0.210000 BK7_SCHOTT 1.517 64.13 filter 10 Plane 0.820000 11 Image Plane plane Reference wavelength (d-line) = 555 nm; Shield Position: The 8^(th) surface with clear aperture of 2.320 mm

TABLE 2 Aspheric Coefficients of the First Embodiment Table 2: Aspheric Coefficients Surface No. 1 2 3 4 k = −1.595426E+00 −7.056632E+00 −2.820679E+01 −1.885740E+00 A₄ = −4.325520E−04 −2.633963E−02 −1.367865E−01 −9.745260E−02 A₆ =  1.103749E+00  2.088207E−02  3.135755E−01 −1.032177E+00 A₈ = −8.796867E+00 −1.122861E−01 −6.149514E+00  8.016230E+00 A₁₀ =  3.981982E+01 −7.137813E−01  3.883332E+01 −4.215882E+01 A₁₂ = −1.102573E+02  2.236312E+00 −1.463622E+02  1.282874E+02 A₁₄ =  1.900642E+02 −2.756305E+00  3.339863E+02 −2.229568E+02 A₁₆ = −2.000279E+02  1.557080E+00 −4.566510E+02  2.185571E+02 A₁₈ =  1.179848E+02 −2.060190E+00  3.436469E+02 −1.124538E+02 A₂₀ = −3.023405E+01  2.029630E+00 −1.084572E+02  2.357571E+01 Surface No. 5 6 7 8 k = 1.013988E−01 −3.460337E+01 −4.860907E+01 −7.091499E+00 A₄ = 2.504976E−01 −9.580611E−01 −2.043197E−01 −8.148585E−02 A₆ = −1.640463E+00   3.303418E+00  6.516636E−02  3.050566E−02 A₈ = 1.354700E+01 −8.544412E+00  4.863926E−02 −8.218175E−03 A₁₀ = −6.223343E+01   1.602487E+01 −7.086809E−02  1.186528E−03 A₁₂ = 1.757259E+02 −2.036011E+01  3.815824E−02 −1.305021E−04 A₁₄ = −2.959459E+02   1.703516E+01 −1.032930E−02  2.886943E−05 A₁₆ = 2.891641E+02 −8.966359E+00  1.413303E−03 −6.459004E−06 A₁₈ = −1.509364E+02   2.684766E+00 −8.701682E−05  6.571792E−07 A₂₀ = 3.243879E+01 −3.481557E−01  1.566415E−06 −2.325503E−08

The values pertaining to the length of the outline curves are obtainable from the data in Table 1 and Table 2:

First Embodiment (Primary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.771 0.808 0.037 104.77% 0.464 173.90% 12 0.771 0.771 0.000 99.99% 0.464 165.97% 21 0.771 0.797 0.026 103.38% 0.397 200.80% 22 0.771 0.828 0.057 107.37% 0.397 208.55% 31 0.771 0.832 0.061 107.97% 0.710 117.25% 32 0.771 0.797 0.026 103.43% 0.710 112.32% 41 0.771 0.771 0.000 100.05% 0.873 88.39% 42 0.771 0.784 0.013 101.69% 0.873 89.84% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 0.771 0.808 0.037 104.77% 0.464 173.90% 12 0.812 0.814 0.002 100.19% 0.464 175.25% 21 0.832 0.877 0.045 105.37% 0.397 220.98% 22 0.899 1.015 0.116 112.95% 0.397 255.83% 31 0.888 0.987 0.098 111.07% 0.710 138.98% 32 1.197 1.237 0.041 103.41% 0.710 174.31% 41 1.642 1.689 0.046 102.81% 0.873 193.53% 42 2.320 2.541 0.221 109.54% 0.873 291.23%

Table 1 is the detailed structural data to the first embodiment in FIG. 1A, wherein the unit for the curvature radius, the central thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-11 illustrate the surfaces from the object side to the image plane in the optical image capturing system. Table 2 shows the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface equation, and A₁-A₂₀ are respectively the first to the twentieth order aspheric surface coefficients. Besides, the tables in the following embodiments correspond to the schematic view and the aberration graphs, respectively, and definitions of parameters in these tables are similar to those in the Table 1 and the Table 2, so the repetitive details will not be given here.

Second Embodiment

Please refer to FIG. 2A, FIG. 2B and FIG. 2C. FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present invention. FIG. 2B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system of the second embodiment, in the order from left to right. FIG. 2C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the aperture stop and incident at the position of 0.7 HOI on the image plane, according to optical image capturing system of the second embodiment. As shown in FIG. 2A, in the order from an object side to an image side, the optical image capturing system includes a first lens element 210, an aperture stop 200, a second lens element 220, a third lens element 230, a fourth lens element 240, an IR-bandstop filter 270, an image plane 280, and an image sensing device 290.

The first lens element 210 has negative refractive power and is made of plastic material. The first lens element 210 has a convex object-side surface 212 and a concave image-side surface 214, and both object-side surface 212 and image-side surface 214 are aspheric.

The second lens element 220 has negative refractive power and is made of plastic material. The second lens element 220 has a convex object-side surface 222 and a concave image-side surface 224, and both object-side surface 222 and image-side surface 224 are aspheric.

The third lens element 230 has positive refractive power and is made of plastic material. The third lens element 230 has a convex object-side surface 232 and a convex image-side surface 234, and both object-side surface 232 and image-side surface 234 are aspheric.

The fourth lens element 240 has positive refractive power and is made of plastic material. The fourth lens element 240 has a convex object-side surface 242 and a convex image-side surface 244, and both object-side surface 242 and image-side surface 244 are aspheric. The image-side surface 244 thereof has an inflection point.

The IR-bandstop filter 270 is made of glass material and is disposed between the fourth lens element 240 and the image plane 280, without affecting the focal length of the optical image capturing system.

Table 3 and Table 4 below should be incorporated into the reference of the present embodiment

TABLE 3 Lens Parameters for the Second Embodiment f(focal length) = 1.6575 mm; f/HEP = 1.8; HAF(half angle of view) = 100 deg Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index Number Length 0 Object 1E+18 1E+13 1 Lens 1 30.66581757 2.197 Plastic 1.565 58.00 −4.584091 2 2.333148272 4.431 3 Aperture 33.55184092 11.276 1.661 20.40 −26.348737 Stop 4 Lens 2 9.980785893 0.191 Plastic 5 1E+18 −0.141 6 Lens 3 10.78135723 0.593 Plastic 1.565 58.00 9.43566 7 −10.40051786 0.050 8 Lens 4 2.911780514 2.260 Plastic 1.565 58.00 5.028685 9 −96.16529773 0.450 10 IR-bandstop 1E+18 0.850 BK7_SCHOTT 1.517 64.13 filter 11 1E+18 2.989 12 Image 1E+18 −0.005 plane Reference wavelength = 555 nm

TABLE 4 The Aspheric Coefficients of the Second Embodiment Table 4: Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −4.064474E+00 −5.780924E−01  4.484625E+01  2.528635E+01 1.352424E+01 2.666829E+01 A4 = −4.872111E−06 −1.082035E−03 −1.458112E−03 −2.512820E−03 6.182264E−03 5.060687E−03 A6 = −1.104328E−07  8.710659E−05 −1.998888E−05  1.616743E−03 1.637561E−03 −4.835531E−04  A8 =  6.377808E−10 −7.947882E−06  1.461706E−06 −1.526840E−04 −2.209856E−04  3.006480E−04 A10 = −8.219756E−14  3.544389E−07 −3.457811E−07 −8.934436E−05 −6.877054E−05  −4.849863E−05  A12 =  0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 8 9 k = −1.011877E+00  −4.517524E+01  A₄ = 4.643164E−04 8.548854E−03 A₆ = 6.206752E−04 1.045792E−03 A₈ = −2.460157E−05  3.767432E−05 A₁₀ = 8.761472E−07 1.319189E−05 A₁₂ = 0.000000E+00 0.000000E+00

In the second embodiment, the presentation of the aspheric surface equation is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtained from the data in Table 3 and Table 4.

Second Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.40661 0.01051 0.00000 0.53704 −111.12300 111.12300 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.36157 0.06290 0.17566 0.32965 0.17398 2.79246 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 0.23856 0.69122 0.34513 −16.91304 0.44382 1.55789 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −10.32871 2.67352 0.03017 0.03017 0.35795 1.36356 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 20.85790 25.14140 10.05656 0.28025 0.82962 0.78276 (TP1 + IN12)/ (TP4 + IN34)/ IN23/(TP2 + TP2 TP3 TP1/TP2 TP3/TP4 IN23 + TP3) 0.58785 3.89368 0.19487 0.26251 0.00420 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.1799 0.0047 0.2148 0.0214 PLTA PSTA NLTA NSTA SLTA SSTA −0.010 0.012 mm −0.007 mm 0.00028 mm −0.001 mm 0.004 mm mm

The following values for the conditional expressions can be obtained from the data in Table 3 and Table 4.

Values Related to Inflection Point of Second Embodiment (Primary Reference Wavelength = 555 nm) HIF421 0.3136 HIF421/HOI 0.1036 SGI421 −0.0004 |SGI421 |/(|SGI421 | + TP4) 0.0002

The values pertaining to the length of the outline curves are obtainable from the data in Table 3 and Table 4:

Second Embodiment (Primary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.460 0.460 −0.00046 99.90% 2.197 20.94% 12 0.460 0.463 0.00250 100.54% 2.197 21.07% 21 0.460 0.460 −0.00047 99.90% 11.276 4.08% 22 0.460 0.460 −0.00032 99.93% 11.276 4.08% 31 0.460 0.460 −0.00033 99.93% 0.593 77.56% 32 0.460 0.460 −0.00034 99.93% 0.593 77.56% 41 0.460 0.462 0.00143 100.31% 2.260 20.44% 42 0.460 0.460 −0.00048 99.90% 2.260 20.35% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 8.310 8.390 0.07996 100.96% 2.197 381.84% 12 3.386 5.320 1.93357 157.10% 2.197 242.10% 21 3.036 3.038 0.00168 100.06% 11.276 26.94% 22 1.510 1.519 0.00867 100.57% 11.276 13.47% 31 1.525 1.537 0.01210 100.79% 0.593 259.05% 32 1.621 1.628 0.00632 100.39% 0.593 274.35% 41 1.966 2.124 0.15833 108.05% 2.260 93.99% 42 1.830 1.843 0.01254 100.68% 2.260 81.54%

Third Embodiment

Please refer to FIG. 3A to FIG. 3C. FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present invention. FIG. 3B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system, in the order from left to right, according to the third embodiment of the present invention. FIG. 3C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the aperture stop and incident at the position of 0.7 HOI on the image plane, according to the third embodiment of the present invention. As shown in FIG. 3A, in the order from an object side to an image side, the optical image capturing system includes a first lens element 310, an aperture stop 300, a second lens element 320, a third lens element 330, a fourth lens element 340, an IR-bandstop filter 370, an image plane 380, and an image sensing device 390.

The first lens element 310 has negative refractive power and is made of plastic material. The first lens element 310 has a convex object-side surface 312 and a concave image-side surface 314, and both object-side surface 312 and image-side surface 314 are aspheric. The object-side surface 312 has an inflection point.

The second lens element 320 has positive refractive power and is made of plastic material. The second lens element 320 has a convex object-side surface 322 and a concave image-side surface 324, and both object-side surface 322 and image-side surface 324 are aspheric.

The third lens element 330 has positive refractive power and is made of plastic material. The third lens element 330 has a convex object-side surface 332 and a convex image-side surface 334, and both object-side surface 332 and image-side surface 334 are aspheric.

The fourth lens element 340 has positive refractive power and is made of plastic material. The fourth lens element 340 has a concave object-side surface 342 and a convex image-side surface 344; both object-side surface 342 and image-side surface 344 are aspheric and have an inflection point.

The IR-bandstop filter 370 is made of glass material and is disposed between the fourth lens element 340 and the image plane 380, without affecting the focal length of the optical image capturing system.

Table 5 and Table 6 below should be incorporated into the reference of the present embodiment.

TABLE 5 Lens Parameters for the Third Embodiment f(focal length) = 0.8769 mm; f/HEP = 1.8; HAF(half angle of view) = 89.9374 deg Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index Number Length 0 Object 1E+18 1E+13 1 Lens 1 28.07910799 3.098 Plastic 1.565 58.00 −3.667043 2 1.857944684 5.966 3 Aperture 7.806440596 9.863 1.661 20.40 51.295929 stop 4 Lens 2 5.002381741 0.055 Plastic 5 1E+18 −0.005 6 Lens 3 4.127666152 0.823 Plastic 1.565 58.00 2.973894 7 −2.643454474 1.187 8 Lens 4 −10.1156364 1.580 Plastic 1.565 58.00 2.873086 9 −1.481884808 0.450 10 IR-bandstop 1E+18 0.850 BK7_SCHOTT 1.517 64.13 filter 11 1E+18 0.534 12 Image 1E+18 −0.014 plane Reference wavelength = 555 nm

TABLE 6 The Aspheric Coefficients of the Third Embodiment Table 6: Aspheric Coefficients Surface No. 1 2 4 5 k = −2.592627E+01 −8.240297E−01 1.536112E+00 2.573554E+01 A₄ = −3.730245E−06  5.303109E−03 1.502348E−03 1.804070E−03 A₆ = −2.878063E−07 −8.798417E−05 −9.985099E−05  −3.955315E−02  A₈ =  1.579614E−09  9.720279E−06 3.373301E−06 4.834148E−02 A₁₀ = −2.485202E−12 −8.190281E−07 −7.729027E−08  −5.601860E−02  A₁₂ =  0.000000E+00  0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k = −5.571346E+00 −3.068470E+00 −5.000000E+01 −2.057448E+00  A₄ =  6.025421E−03 −2.644356E−02 −1.234871E−02 3.051780E−05 A₆ = −1.343825E−02  4.915455E−03  1.964727E−02 1.888134E−03 A₈ = −6.536554E−03 −1.240711E−02 −4.657142E−03 2.346083E−03 A₁₀ =  5.616476E−03 −2.086211E−03  3.812161E−04 −3.270525E−04  A₁₂ =  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00

In the third embodiment, the presentation of the aspheric surface equation is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtained from the data in Table 5 and Table 6.

Third Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.04405 −0.60655 1.19126 0.00000 −100.31100 96.96380 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.23913 0.01710 0.29487 0.30522 0.07149 17.24875 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 0.31197 0.54435 0.57310 54.26979 −0.79395 0.94520 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f 4.61873 6.80301 0.05702 1.35374 0.93834 1.80218 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 22.56690 24.38690 9.75476 0.22164 0.92537 0.68083 (TP1 + IN12)/ (TP4 + IN34)/ IN23/(TP2 + TP2 TP3 TP1/TP2 TP3/TP4 IN23 + TP3) 0.91891 3.36329 0.31408 0.52067 0.00466 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.0279 0.3838 0.0000 0.0000 PLTA PSTA NLTA NSTA SLTA SSTA −0.010 mm 0.002 mm 0.008 mm 0.002 mm 0.002 mm 0.009 mm

The following values for the conditional expressions can be obtained from the data in Table 5 and Table 6.

Values Related to Inflection Point of Third Embodiment (Primary Reference Wavelength = 555 nm) HIF111 6.3157 HIF111/HOI 2.0857 SGI111 0.5469 | SGI111 |/(| SGI111 | + TP1) 0.4769 HIF411 0.7676 HIF411/HOI 0.2535 SGI411 −0.0281 | SGI411 |/(| SGI411 | + TP4) 0.0198 HIF421 1.1554 HIF421/HOI 0.3816 SGI421 −0.3842 | SGI421 |/(| SGI421 | + TP4) 0.2162

The values pertaining to the length of the outline curves are obtainable from the data in Table 5 and Table 6:

Third Embodiment (Perimary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.244 0.243 −0.00058 99.76% 3.098 7.84% 12 0.244 0.244 0.00011 100.04% 3.098 7.87% 21 0.244 0.243 −0.00055 99.78% 9.863 2.46% 22 0.244 0.243 −0.00049 99.80% 9.863 2.46% 31 0.244 0.243 −0.00045 99.82% 0.823 29.55% 32 0.244 0.243 −0.00024 99.90% 0.823 29.57% 41 0.244 0.243 −0.00056 99.77% 1.580 15.38% 42 0.244 0.244 0.00048 100.20% 1.580 15.44% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 7.390 7.427 0.03712 100.50% 3.098 239.75% 12 3.163 5.116 1.95237 161.72% 3.098 165.14% 21 2.969 3.080 0.11074 103.73% 9.863 31.22% 22 0.701 0.704 0.00280 100.40% 9.863 7.14% 31 0.738 0.740 0.00256 100.35% 0.823 89.99% 32 0.909 0.931 0.02127 102.34% 0.823 113.09% 41 1.192 1.192 0.00057 100.05% 1.580 75.44% 42 1.346 1.448 0.10146 107.54% 1.580 91.61%

Fourth Embodiment

Please refer to FIG. 4A to FIG. 4C. FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present invention. FIG. 4B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system, in the order from left to right, according to the fourth embodiment of the present invention. FIG. 4C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the aperture stop and incident at the position of 0.7 HOI on the image plane, according to the fourth embodiment of the present invention. As shown in FIG. 4A, in the order from an object side to an image side, the optical image capturing system includes a first lens element 410, an aperture stop 400, a second lens element 420, a third lens element 430, a fourth lens element 440, an IR-bandstop filter 470, an image plane 480, and an image sensing device 490.

The first lens element 410 has negative refractive power and is made of plastic material. The first lens element 410 has a convex object-side surface 412 and a concave image-side surface 414, and both object-side surface 412 and image-side surface 414 are aspheric. The object-side surface 412 has an inflection point.

The second lens element 420 has negative refractive power and is made of plastic material. The second lens element 420 has a convex object-side surface 422 and a planar image-side surface 424, and both object-side surface 422 and image-side surface 424 are aspheric. The image-side surface 424 thereof has an inflection point.

The third lens element 430 has positive refractive power and is made of plastic material. The third lens element 430 has a convex object-side surface 432 and a convex image-side surface 434, and both object-side surface 432 and image-side surface 434 are aspheric. The image-side surface 434 thereof has an inflection point.

The fourth lens element 440 has positive refractive power and is made of plastic material. The fourth lens element 440 has a convex object-side surface 442 and a convex image-side surface 444; both object-side surface 442 and image-side surface 444 are aspheric and have an inflection point.

The IR-bandstop filter 470 is made of glass material and is disposed between the fourth lens element 440 and the image plane 480, without affecting the focal length of the optical image capturing system.

Table 7 and Table 8 below should be incorporated into the reference of the present embodiment.

TABLE 7 Lens Parameters for the Fourth Embodiment f(focal length) = 1.4317 mm; f/HEP = 1.8; HAF(half angle of view) = 80.0013 deg Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index Number Length 0 Object 1E+18 1E+13 1 Lens 1 14.57252016 1.949 Plastic 1.565 58 −3.68766 2 1.739483979 4.837 3 Aperture 10.09653776 9.527 1.661 20.4 −394.139 stop 4 Lens 2 6.052937967 0.307 Plastic 5 1E+18 −0.253 6 Lens 3 3.943034134 0.639 Plastic 1.565 58 5.62304 7 −15.64795808 0.411 8 Lens 4 2.963733696 5.018 Plastic 1.565 58 4.7348 9 −11.00024305 0.450 10 IR-bandstop 1E+18 0.850 BK7_SCHOTT 1.517 64.13 filter 11 1E+18 0.219 12 Image 1E+18 0.013 Plane Reference wavelength = 555 nm

TABLE 8 The Aspheric Coefficients of the Fourth Embodiment Table 8: Aspheric Coefficients Surface No. 1 2 4 5 k =  9.393133E−01 −1.200229E+00   6.748665E+00 −4.472759E+00  A₄ = −2.753366E−04 1.197005E−02 −1.259249E−03 2.592755E−02 A₆ = −1.714414E−06 5.554338E−05  1.948022E−05 −8.909309E−03  A₈ =  2.735189E−08 −7.825267E−06  −4.299808E−07 6.427630E−06 A₁₀ = −2.510701E−10 3.938268E−06 −1.945739E−07 6.433843E−05 A₁₂ =  0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k = −1.088408E+00 −5.000000E+01 −6.810917E+00 −4.999953E+01 A₄ =  3.184585E−02 −1.664571E−02  9.856056E−03  1.675706E−02 A₆ = −5.875903E−03  1.516447E−02 −1.213791E−03 −3.293972E−03 A₈ = −8.942120E−05 −4.302541E−03  1.295304E−04  1.132118E−03 A₁₀ =  3.801939E−04  9.505698E−04 −1.288643E−04 −1.200490E−04 A₁₂ =  0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00

In the fourth embodiment, the form of the aspheric surface equation is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtained from the data in Table 7 and Table 8.

Fourth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.36979 0.09874 0.00000 1.16429 −69.24830 64.56970 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.38825 0.00363 0.25462 0.30238 0.00936 70.09358 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 0.25825 0.69063 0.37393 −388.51596 1.04714 1.01447 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −3.52165 3.37827 0.03723 0.28716 0.44627 3.50515 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 22.43400 23.96610 9.58644 0.30657 0.93607 0.76370 (TP1 + IN12)/ (TP4 + IN34)/ IN23/(TP2 + TP2 TP3 TP1/TP2 TP3/TP4 IN23 + TP3) 0.71230 8.49781 0.20458 0.12732 0.00522 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.0737 0.0197 0.4657 0.0486 PLTA PSTA NLTA NSTA SLTA SSTA 0.007 mm 0.025 mm 0.007 mm 0.009 mm 0.00007 mm 0.004 mm

The following values for the conditional expressions can be obtained from the data in Table 7 and Table 8.

Values Related to Inflection Point of Fourth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 5.0602 HIF111/HOI 1.6387 SGI111 0.7367 | SGI111 |/(| SGI111 | + TP1) 0.2276 HIF221 1.2534 HIF221/HOI 0.4059 SGI221 0.1554 | SGI221 |/(| SGI221 | + TP2) 0.1663 HIF321 0.9116 HIF321/HOI 0.2952 SGI321 −0.0300 | SGI321 |/(| SGI321 | + TP3) 0.0791 HIF411 1.4660 HIF411/HOI 0.4748 SGI411 0.3140 | SGI411 |/(| SGI411 | + TP4) 0.1116 HIF421 0.6499 HIF421/HOI 0.2104 SGI421 −0.0157 | SGI421 |/(| SGI421 | + TP4) 0.0062

The values pertaining to the length of the outline curves are obtainable from the data in Table 7 and Table 8:

Fourth Embodiment (Primary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.398 0.397 −0.00065 99.84% 1.949 20.37% 12 0.398 0.400 0.00275 100.69% 1.949 20.55% 21 0.398 0.397 −0.00060 99.85% 9.527 4.17% 22 0.398 0.397 −0.00039 99.90% 9.527 4.17% 31 0.398 0.398 0.00003 100.01% 0.639 62.25% 32 0.398 0.397 −0.00065 99.84% 0.639 62.14% 41 0.398 0.398 0.00044 100.11% 5.018 7.93% 42 0.398 0.397 −0.00063 99.84% 5.018 7.91% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 6.346 6.443 0.09764 101.54% 1.949 330.60% 12 3.002 4.898 1.89595 163.16% 1.949 251.30% 21 2.837 2.877 0.04012 101.41% 9.527 30.20% 22 1.248 1.260 0.01215 100.97% 9.527 13.23% 31 1.238 1.274 0.03524 102.85% 0.639 199.34% 32 1.290 1.290 0.00041 100.03% 0.639 201.91% 41 1.503 1.547 0.04411 102.93% 5.018 30.83% 42 1.628 1.630 0.00128 100.08% 5.018 32.47%

Fifth Embodiment

Please refer to FIG. 5A to FIG. 5C. FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present invention. FIG. 5B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system, in the order from left to right, according to the fifth embodiment of the present invention. FIG. 5C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the aperture stop and incident at the position of 0.7 HOI on the image plane, according to the optical image capturing system of the fifth embodiment. As shown in FIG. 5A, in the order from an object side to an image side, the optical image capturing system includes a first lens element 510, an aperture stop 500, a second lens element 520, a third lens element 530, a fourth lens element 540, an IR-bandstop filter 570, an image plane 580, and an image sensing device 590.

The first lens element 510 has negative refractive power and is made of plastic material. The first lens element 510 has a convex object-side surface 512 and a concave image-side surface 514, and both object-side surface 512 and image-side surface 514 are aspheric. The object-side surface 512 has an inflection point.

The second lens element 520 has negative refractive power and is made of plastic material. The second lens element 520 has a convex object-side surface 522 and a concave image-side surface 524, and both object-side surface 522 and image-side surface 524 are aspheric.

The third lens element 530 has positive refractive power and is made of plastic material. The third lens element 530 has a convex object-side surface 532 and a convex image-side surface 534, and both object-side surface 532 and image-side surface 534 are aspheric.

The fourth lens element 540 has positive refractive power and is made of plastic material. The fourth lens element 540 has a convex object-side surface 542 and a convex image-side surface 544. Both object-side surface 542 and image-side surface 544 are aspheric, and the image-side surface 544 has an inflection point.

The IR-bandstop filter 570 is made of glass material and is disposed between the fourth lens element 540 and the image plane 580, without affecting the focal length of the optical image capturing system.

Table 9 and Table 10 below should be incorporated into the reference of the present embodiment.

TABLE 9 Lens Parameters for the Fifth Embodiment f(focal length) = 1.4025 mm; f/HEP = 1.8; HAF(half angle of view) = 69.9989 deg Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index Number Length 0 Object 1E+18 1E+13 1 Lens 1 25.83622735 2.092 Plastic 1.565 58.00 −5.496319 2 2.016018126 5.601 3 Aperture 9.529065668 10.205 1.661 20.40 −37.064765 Stop 4 Lens 2 3.838023782 0.425 Plastic 5 1E+18 −0.242 6 Lens 3 2.360407751 0.774 Plastic 1.565 58.00 6.263935 7 −4.082409969 2.214 8 Lens 4 9.301345888 1.269 Plastic 1.565 58.00 5.221376 9 −10.41800448 0.450 10 IR-bandstop 1E+18 0.850 BK_7 1.517 64.13 filter 11 1E+18 0.694 12 Image 1E+18 −0.003 plane Reference wavelength = 555 nm

TABLE 10 The Aspheric Coefficients of the Fifth Embodiment Table 10: Aspheric Coefficients Surface No. 1 2 4 5 k = 1.693088E+00 −9.981502E−01  −5.179953E+00  −1.593882E+01 A₄ = 2.013600E−04 4.876620E−03 7.381754E−05 −5.015582E−03 A₆ = −1.124529E−06  1.197845E−04 −4.024330E−06   1.100011E−02 A₈ = −2.511663E−08  5.287214E−06 2.350657E−07 −5.225711E−03 A₁₀ = 1.543182E−10 2.080515E−06 1.076304E−07  1.695759E−03 A₁₂ = 0.000000E+00 0.000000E+00 0.000000E+00  0.000000E+00 Surface No. 6 7 8 9 k = −7.397518E+00  −1.856659E+00 −5.000000E+01 2.221586E+00 A₄ = 1.041936E−02 −4.898187E−03  1.364913E−02 1.267550E−02 A₆ = −5.144000E−03  −1.952672E−03 −2.360785E−03 1.759741E−03 A₈ = 3.682174E−04 −8.394067E−04  4.518837E−04 −6.713192E−04  A₁₀ = 1.041320E−04  4.016405E−05 −4.008890E−05 1.064208E−04 A₁₂ = 0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00

In the fifth embodiment, the form of the aspheric surface equation is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtained from the data in Table 9 and Table 10:

Fifth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.29311 0.06041 0.00000 1.29925 −35.09570 34.93070 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.35198 0.04113 0.50838 0.15800 0.11685 12.36075 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 0.19913 0.86036 0.23144 −25.22391 −1.22581 −0.35192 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f 3.25059 3.99387 0.13032 1.57852 0.55211 0.90508 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 22.33920 24.33010 9.73204 0.24687 0.91817 0.64197 (TP1 + IN12)/ (TP4 + IN34)/ IN23/(TP2 + TP2 TP3 TP1/TP2 TP3/TP4 IN23 + TP3) 0.75387 4.49836 0.20499 0.61002 0.01637 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.2309 0.0476 0.5197 0.0534 PLTA PSTA NLTA NSTA SLTA SSTA −0.012 mm 0.005 mm 0.006 mm 0.007 mm −0.002 mm 0.005 mm

The following values for the conditional expressions can be obtained from the data in Table 9 and Table 10.

Values Related to Inflection Point of Fifth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 7.1007 HIF111/HOI 2.2995 SGI111 1.2869 | SGI111 |/(| SGI111 | + TP1) 0.3398 HIF421 0.7571 HIF421/HOI 0.2452 SGI421 −0.0232 | SGI421 |/(| SGI421 | + TP4) 0.0092

The values pertaining to the length of the outline curves are obtainable from the data in Table 9 and Table 10:

Fifth Embodiment (Primary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.390 0.389 −0.00057 99.85% 2.092 18.60% 12 0.390 0.391 0.00183 100.47% 2.092 18.71% 21 0.390 0.389 −0.00048 99.88% 10.205 3.81% 22 0.390 0.390 0.00002 100.00% 10.205 3.82% 31 0.390 0.391 0.00103 100.26% 0.774 50.45% 32 0.390 0.390 0.00001 100.00% 0.774 50.31% 41 0.390 0.389 −0.00047 99.88% 1.269 30.65% 42 0.390 0.389 −0.00051 99.87% 1.269 30.65% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 7.351 7.528 0.17662 102.40% 2.092 359.83% 12 3.310 5.453 2.14269 164.73% 2.092 260.66% 21 2.902 2.939 0.03728 101.28% 10.205 28.80% 22 1.232 1.246 0.01395 101.13% 10.205 12.21% 31 1.211 1.241 0.02942 102.43% 0.774 160.23% 32 1.288 1.316 0.02774 102.15% 0.774 169.93% 41 1.745 1.763 0.01763 101.01% 1.269 138.85% 42 1.745 1.746 0.00147 100.08% 1.269 137.56%

Sixth Embodiment

Please refer to FIG. 6A to FIG. 6C. FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present invention. FIG. 6B shows the longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system, in the order from left to right, according to the sixth embodiment of the present invention. FIG. 6C is a transverse aberration diagram of the longest operation wavelength and the shortest operation wavelength for tangential fan and sagittal fan, wherein the longest operation wavelength and the shortest operation wavelength pass through an edge of the aperture stop and incident at the position of 0.7 HOI on the image plane, according to the optical image capturing system of the sixth embodiment. As shown in FIG. 6A, in the order from an object side to an image side, the optical image capturing system includes a first lens element 610, an aperture stop 600, a second lens element 620, a third lens element 630, a fourth lens element 640, an IR-bandstop filter 670, an image plane 680, and an image sensing device 690.

The first lens element 610 has negative refractive power and is made of plastic material. The first lens element 610 has a convex object-side surface 612 and a concave image-side surface 614, and both object-side surface 612 and image-side surface 614 are aspheric. The object-side surface 612 has an inflection point.

The second lens element 620 has negative refractive power and is made of plastic material. The second lens element 620 has a convex object-side surface 622 and a concave image-side surface 624, and both object-side surface 622 and image-side surface 624 are aspheric. The object-side surface 622 thereof has two inflection points.

The third lens element 630 has positive refractive power and is made of plastic material. The third lens element 630 has a convex object-side surface 632 and a convex image-side surface 634, and both object-side surface 632 and image-side surface 634 are aspheric.

The fourth lens element 640 has positive refractive power and is made of plastic material. The fourth lens element 640 has a convex object-side surface 642 and a concave image-side surface 644. Both object-side surface 642 and image-side surface 644 are aspheric.

The IR-bandstop filter 670 is made of glass material and is disposed between the fourth lens element 640 and the image plane 680, without affecting the focal length of the optical image capturing system.

Table 11 and Table 12 below should be incorporated into the reference of the present embodiment.

TABLE 11 Lens Parameters for the Sixth Embodiment f(focal length) = 2.2840 mm; f/HEP = 1.8; HAF(half angle of view) = 49.9997 deg Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index Number Length 0 Object 1E+18 1E+13 1 Lens 1 42.39644846 7.096 Plastic 1.565 58.00 −6.058719 2 2.984335897 4.101 3 Aperture 18.59912138 15.368 Stop 4 Lens 2 6.980984737 0.210 Plastic 1.661 20.40 −35.595919 5 1E+18 −0.133 6 Lens 3 7.371750701 0.764 Plastic 1.565 58.00 7.976578 7 −11.25206901 0.050 8 Lens 4 3.177917139 4.436 Plastic 1.565 58.00 5.936202 9 28.36496686 0.450 10 IR-bandstop 1E+18 0.850 BK_7 1.517 64.13 1E+18 filter 11 1E+18 2.162 12 Image 1E+18 0.002 Plane Reference wavelength = 555 nm

TABLE 12 The Aspheric Coefficients of the Sixth Embodiment Table 12: Aspheric Coefficients Surface No. 1 2 4 5 k = 5.178438E+00 −1.522253E+00  −9.181431E+00 −2.864409E+00  A₄ = 5.887589E−05 3.844905E−03 −6.445071E−04 3.197102E−04 A₆ = 1.577224E−08 1.178279E−05  3.285386E−05 6.802221E−04 A₈ = −8.930188E−10  2.956037E−06 −2.164545E−06 −2.789403E−04  A₁₀ = −4.450853E−12  1.705368E−07  6.264913E−08 4.386200E−05 A₁₂ = 0.000000E+00 0.000000E+00  0.000000E+00 0.000000E+00 Surface No. 6 7 8 9 k = −9.789268E+00 1.715042E+01 −9.747403E−01 −4.966781E+01 A₄ =  9.339617E−03 2.574129E−03 −2.661035E−03  7.634680E−03 A₆ = −6.148393E−04 −5.097664E−04   2.508898E−04  4.300564E−04 A₈ = −1.229013E−04 1.438652E−04 −6.861513E−06 −1.558950E−06 A₁₀ =  1.414274E−05 −3.008316E−05  −1.468172E−06 −6.925446E−07 A₁₂ =  0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00

In the sixth embodiment, the form of the aspheric surface equation is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are similar to those in the first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtained from the data in Table 11 and Table 12:

Sixth Embodiment (Primary Reference Wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.75811 0.23339 0.00000 0.00000 −8.18003 8.19904 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.37698 0.06417 0.28634 0.38476 0.17021 4.46255 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 0.73527 0.37698 1.95041 −21.68312 −6.05872 −0.27377 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f 1.00000 1.79566 0.03362 0.02189 0.33468 1.94222 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 31.89190 35.35570 14.14228 0.24272 0.90203 0.86742 (TP1 + IN12)/ (TP4 + IN34)/ IN23/(TP2 + TP2 TP3 TP1/TP2 TP3/TP4 IN23 + TP3) 0.72860 5.86853 0.46172 0.17232 0.00474 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.1709 0.0526 0.0000 0.0000 PLTA PSTA NLTA NSTA SLTA SSTA −0.002 mm 0.003 mm −0.005 mm 0.003 mm 0.003 mm 0.001 mm

The following values for the conditional expressions can be obtained from the data in Table 11 and Table 12:

Values Related to Inflection Point of Sixth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 10.5936 HIF111/HOI 4.2647 SGI111 2.0269 | SGI111 |/(| SGI111 | + TP1) 0.7170 HIF211 2.9650 HIF211/HOI 1.1936 SGI211 0.1881 | SGI211 |/(| SGI211 | + TP2) 0.0702 HIF212 3.6790 HIF212/HOI 1.4811 SGI212 0.2578 | SGI212 |/(| SGI212 | + TP2) 0.0938

The values pertaining to the length of the outline curves are obtainable from the data in Table 11 and Table 12:

Sixth Embodiment (Primary Reference Wavelength = 555 nm) ARE 1/2(HEP) ARE value ARE − 1/2(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.634 0.634 −0.00043 99.93% 7.096 8.94% 12 0.634 0.639 0.00433 100.68% 7.096 9.00% 21 0.634 0.634 −0.00033 99.95% 15.368 4.13% 22 0.634 0.635 0.00042 100.07% 15.368 4.13% 31 0.634 0.635 0.00040 100.06% 0.764 83.05% 32 0.634 0.634 −0.00012 99.98% 0.764 82.98% 41 0.634 0.638 0.00367 100.58% 4.436 14.38% 42 0.634 0.634 −0.00037 99.94% 4.436 14.29% ARS EHD ARS value ARS − EHD (ARS/EHD)% TP ARS/TP (%) 11 11.639 12.011 0.37112 103.19% 7.096 169.27% 12 4.214 6.483 2.26823 153.82% 7.096 91.36% 21 4.197 4.209 0.01276 100.30% 15.368 27.39% 22 1.704 1.721 0.01722 101.01% 15.368 11.20% 31 1.849 1.877 0.02873 101.55% 0.764 245.60% 32 1.940 1.953 0.01233 100.64% 0.764 255.43% 41 2.272 2.431 0.15936 107.01% 4.436 54.80% 42 2.065 2.092 0.02717 101.32% 4.436 47.17%

Although the present invention is disclosed by the aforementioned embodiments, those embodiments do not serve to limit the scope of the present invention. A person skilled in the art could perform various alterations and modifications to the present invention, without departing from the spirit and the scope of the present invention. Hence, the scope of the present invention should be defined by the following appended claims.

Despite the fact that the present invention is specifically presented and illustrated with reference to the exemplary embodiments thereof, it should be apparent to a person skilled in the art that, various modifications could be performed to the forms and details of the present invention, without departing from the scope and spirit of the present invention defined in the claims and their equivalence. 

What is claimed is:
 1. An optical image capturing system, from an object side to an image side, comprising: a first lens element with negative refractive power; a second lens element with negative refractive power; a third lens element with positive refractive power; a fourth lens element with positive refractive power; and an image plane; wherein the second lens element has a convex object-side surface and a planar image-side surface; the third lens element has a convex object-side surface and a convex image-side surface; focal lengths of the four lens elements are respectively f1, f2, f3 and f4; a focal length of the optical image capturing system is f, and an entrance pupil diameter of the optical image capturing system is HEP; a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on the optical axis from the object-side surface of the first lens element to an image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1<=f/HEP<=10, 49.9997 deg <HAF<=80.0013 deg, and 0.9<=2(ARE/HEP)<=2.0.
 2. The optical image capturing system of claim 1, wherein TV distortion for image formation in the optical image capturing system is TDT; the optical image capturing system has a maximum image height HOI on the image plane perpendicular to the optical axis, transverse aberration of a longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of an entrance pupil and incident at a position of 0.7 HOI on the image plane is denoted by PLTA, and transverse aberration of a shortest operation wavelength of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by PSTA; transverse aberration of the longest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by NLTA, and transverse aberration of the shortest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by NSTA; transverse aberration of the longest operation wavelength of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by SLTA, transverse aberration of the shortest operation wavelength of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by SSTA; conditions as follows are satisfied: PLTA≤100 μm; PSTA≤100 μm; NLTA≤100 μm; NSTA≤100 μm; SLTA≤100 μm; and SSTA≤100 μm; and |TDT|<100%.
 3. The optical image capturing system of claim 1, wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.
 4. The optical image capturing system of claim 1, satisfying conditions as follows: 0 mm<HOS≤50 mm.
 5. The optical image capturing system of claim 1, wherein the image plane is a plane or a curved surface.
 6. The optical image capturing system of claim 1, wherein the outline curve starting from the axial point on the object-side surface of the fourth lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE41; the outline curve starting from the axial point on the image-side surface of the fourth lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE42; a central thickness of the fourth lens element on the optical axis is TP4, which satisfies conditions as follows: 0.05≤ARE41/TP4≤25 and 0.05≤ARE42/TP4≤25.
 7. The optical image capturing system of claim 1, wherein the outline curve starting from the axial point on the object-side surface of the third lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE31; the outline curve starting from the axial point on the image-side surface of the third lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE32; a central thickness of the third lens element on the optical axis is TP3, which satisfies conditions as follows: 0.05≤ARE31/TP3≤25 and 0.05≤ARE32/TP3≤25.
 8. The optical image capturing system of claim 1, further comprising an aperture stop; wherein a distance from the aperture stop to the image plane on the optical axis is InS, which satisfies condition as follows: 0.2≤InS/HOS≤1.1.
 9. An optical image capturing system, from an object side to an image side, comprising: a first lens element with negative refractive power; a second lens element with negative refractive power; a third lens element with positive refractive power; a fourth lens element with positive refractive power; and an image plane; wherein the second lens element has a convex object-side surface and a planar image-side surface; the third lens element has a convex object-side surface and a convex image-side surface; at least one of the four lens elements has at least one inflection point on at least one surface thereof; focal lengths of the four lens elements are respectively f1, f2, f3 and f4; a focal length of the optical image capturing system is f; an entrance pupil diameter of the optical image capturing system is HEP; a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on the optical axis from the object-side surface of the first lens element to an image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1<=f/HEP<=10, 49.9997 deg <HAF<=80.0013 deg, and 0.9<=2(ARE/HEP)<=2.0.
 10. The optical image capturing system of claim 9, wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.
 11. The optical image capturing system of claim 9, wherein at least one of the object-side surface and the image-side surface of the fourth lens element has at least one inflection point.
 12. The optical image capturing system of claim 9, wherein the optical image capturing system has a maximum image height HOI on the image plane perpendicular to the optical axis; transverse aberration of a longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of an entrance pupil and incident at a position of 0.7 HOI on the image plane is denoted by PLTA, and transverse aberration of a shortest operation wavelength of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by PSTA; transverse aberration of the longest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by NLTA, and transverse aberration of the shortest operation wavelength of the negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by NSTA; transverse aberration of the longest operation wavelength of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by SLTA, transverse aberration of the shortest operation wavelength of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the image plane is denoted by SSTA; conditions as follows are satisfied: PLTA≤50 μm; PSTA≤50 μm; NLTA≤50 μm; NSTA≤50 μm; SLTA≤50 μm; and SSTA≤50 μm.
 13. The optical image capturing system of claim 9, wherein a distance on the optical axis between the first lens element and the second lens element is IN12, which satisfies condition as follows: 0<IN12/f≤60.
 14. The optical image capturing system of claim 9, wherein a distance on the optical axis between the third lens element and the fourth lens element is IN34, which satisfies condition as follows: 0<IN34/f≤5.
 15. The optical image capturing system of claim 9, wherein a distance on the optical axis between the third lens element and the fourth lens element is IN34, central thicknesses of the third lens element and the fourth lens element on the optical axis are respectively TP3 and TP4, which satisfy condition as follows: 1≤(TP4+IN34)/TP3≤10.
 16. The optical image capturing system of claim 9, wherein a distance on the optical axis between the first lens element and the second lens element is IN12, central thicknesses of the first lens element and the second lens element on the optical axis are respectively TP1 and TP2, which satisfy condition as follows: 1≤(TP1+IN12)/TP2≤10.
 17. The optical image capturing system of claim 9, wherein at least one lens element among the first lens element, the second lens element, the third lens element and the fourth lens element is a filter element of light with wavelength of less than 500 nm.
 18. An optical image capturing system, from an object side to an image side, comprising: a first lens element with negative refractive power; a second lens element with negative refractive power; a third lens element with positive refractive power; a fourth lens element with positive refractive power; at least one of an object-side surface and an image-side surface thereof having at least one inflection point; and an image plane; wherein the second lens element has a convex object-side surface and a planar image-side surface; the third lens element has a convex object-side surface and a convex image-side surface; at least one lens element among the first lens elements to the third lens element has at least one inflection point on at least one surface thereof; focal lengths of the first lens element to the fourth lens elements are respectively f1, f2, f3 and f4; a focal length of the optical image capturing system is f; an entrance pupil diameter of the optical image capturing system is HEP; a distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS, a distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL, half of a maximum viewable angle of the optical image capturing system is denoted by HAF; an outline curve starting from an axial point on any surface of any one of the four lens elements, tracing along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has a length denoted by ARE; conditions as follows are satisfied: 1<=f/HEP<=10, 49.9997 deg <HAF<=80.0013 deg, and 0.9<=2(ARE/HEP)<=2.0.
 19. The optical image capturing system of claim 18, wherein a maximum effective half diameter of any surface of any one of the four lens elements is denoted by EHD; an outline curve starting from the axial point on any surface of any one of those lens elements, tracing along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has a length denoted by ARS; conditions as follows are satisfied: 0.9≤ARS/EHD≤2.0.
 20. The optical image capturing system of claim 18, satisfying conditions as follows: 0 mm<HOS≤50 mm.
 21. The optical image capturing system of claim 18, wherein the outline curve starting from the axial point on the object-side surface of the fourth lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE41; the outline curve starting from the axial point on the image-side surface of the fourth lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE42; a central thickness of the fourth lens element on the optical axis is TP4, which satisfies conditions as follows: 0.05≤ARE41/TP4≤25 and 0.05≤ARE42/TP4≤25.
 22. The optical image capturing system of claim 18, wherein the outline curve starting from the axial point on the object-side surface of the third lens elements, tracing along the outline of the object-side surface, and ending at the coordinate point on the surface that has the vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE31; the outline curve starting from the axial point on the image-side surface of the third lens elements, tracing along the outline of the image-side surface, and ending at the coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has the length denoted by ARE32; a central thickness of the third lens element on the optical axis is TP3, which satisfies conditions as follows: 0.05≤ARE31/TP3≤25 and 0.05≤ARE32/TP3≤25.
 23. The optical image capturing system of claim 18, further comprising an aperture stop, an image sensing device, and a driving module, wherein the image sensing device is disposed on the image plane, a distance from the aperture stop to the image plane is InS, and the driving module couples with the four lens elements and enables movements of those lens elements; conditions as follows are satisfied: 0.25≤InS/HOS≤1.1. 